Publications

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2002
Gatzke, E. P., J. E. Tolsma, and P. I. Barton, "Construction of Convex Relaxations Using Automated Code Generation Techniques", Optimization and Engineering, vol. 3, no. 3, pp. 305-326, 2002. Abstract
2005
Bhattacharjee, B., P. Lemonidis, W. H. Green, and P. I. Barton, "Interval Methods for Semi-infinite Programs", , 30(1):63-93, 2005", Computational Optimization and Applications, vol. 30, no. 1, pp. 63-93, 2005. Abstract
2008
Mitsos, A., P. Lemonidis, C. K. Lee, and P. I. Barton, "Relaxation-Based Bounds for Semi-Infinite Programs", SIAM Journal on Optimization, vol. 19, no. 1: SIAM, pp. 77-113, 2008. Abstract
2009
Mitsos, A., B. Chachuat, and P. I. Barton, "McCormick-Based Relaxations of Algorithms", SIAM Journal on Optimization, vol. 20, no. 2: SIAM, pp. 573-601, 2009. Abstract
2010
Stuber, M. D., V. Kumar, and P. I. Barton, "Nonsmooth exclusion test for finding all solutions of nonlinear equations", BIT Numerical Mathematics, vol. 50, issue 4: Springer Netherlands, pp. 885-917, 2010. Abstract
2011
Scott, J. K., M. D. Stuber, and P. I. Barton, "Generalized McCormick relaxations", Journal of Global Optimization, vol. 51, issue 4, pp. 569-606, 2011. Abstract
Li, X., A. Tomasgard, and P. I. Barton, "Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs", Journal of Optimization Theory and Applications, vol. 151, issue 3: Springer Netherlands, pp. 425-454, 2011. Abstract
2012
Chen, Y., X. Li, T. A. Adams, II, and P. I. Barton, "Decomposition strategy for the global optimization of flexible energy polygeneration systems", AIChE Journal, vol. 58, issue 10, pp. 3080-3095, 2012. Abstract
2013
Scott, J. K., and P. I. Barton, "Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations", Journal of Optimization Theory and Applications, vol. 156, issue 3: Springer Netherlands, pp. 617-649, 2013. Abstract
Scott, J. K., B. Chachuat, and P. I. Barton, "Nonlinear convex and concave relaxations for the solutions of parametric ODEs", Optimal Control Applications and Methods, vol. 34, issue 2: John Wiley & Sons, Ltd, pp. 145-163, 2013. Abstract
In Press
Wechsung, A., S. D. Schaber, and P. I. Barton, "The cluster problem revisited", Journal of Global Optimization: Springer US, In Press. Abstract
Wechsung, A., and P. I. Barton, "Global optimization of bounded factorable functions with discontinuities", Journal of Global Optimization: Springer US, In Press. Abstract
Scott, J. K., and P. I. Barton, "Improved relaxations for the parametric solutions of ODEs using differential inequalities", Journal of Global Optimization: Springer Netherlands, In Press. Abstract